The speed of sound in hydrogen at 0°C is 1280 m s^{–1}. The density of hydrogen at STP is 0.089 kg m^{–3}. Calculate the molar heat capacities C_{P} and C_{V} of hydrogen.

**Given:**

The speed of sound in hydrogen at 0°C is 1280 m s^{–1}.

The density of hydrogen at STP is 0.089 kg m^{–3}.

At STP the pressure P is 1.013×10^{5}Pa.

So the speed of sound in hydrogen where is the density of the gas.

So, putting data in, we get,

So, ;

1